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Finding the Fourth Proportional to 4,696, 7,040.64 and 3,379.84

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Solution

The fourth proportional to 4,696, 7,040.64 and 3,379.84 is: 5,067.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696 : 7,040.64 = 3,379.84 : x
  2. Step 2: Convert to fraction form
    4,696/7,040.64 = 3,379.84/x
  3. Step 3: Cross multiply
    4,696x = 7,040.64 × 3,379.84
  4. Step 4: Simplify right side
    4,696x = 23,796,236.70
  5. Step 5: Solve for x
    x = 23,796,236.70/4,696
  6. Step 6: Final answer
    x = 5,067.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.